Metrics for Expression 4, p15

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze17.0ms (0.3%)

Memory

27.9MiB live, 27.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
50%	0%	0%	100%	0%	0%	0%	3
50%	0%	0%	100%	0%	0%	0%	4
75%	0%	0%	100%	0%	0%	0%	5
75%	0%	0%	100%	0%	0%	0%	6
87.5%	0%	0%	100%	0%	0%	0%	7
87.5%	0%	0%	100%	0%	0%	0%	8
93.8%	0%	0%	100%	0%	0%	0%	9
93.8%	0%	0%	100%	0%	0%	0%	10
96.9%	0%	0%	100%	0%	0%	0%	11
96.9%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample1.1s (21.6%)

Memory

25.2MiB live, 1 434.6MiB allocated

Samples

704.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 457.0ms

const: 187.0ms (40.9% of total)

ival-<=: 113.0ms (24.7% of total)

ival-add: 60.0ms (13.1% of total)

ival-mult: 57.0ms (12.5% of total)

ival-and: 24.0ms (5.3% of total)

exact: 13.0ms (2.8% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain246.0ms (4.9%)

Memory

-4.4MiB live, 69.8MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 a b)`
-	-	`(*.f64 (+.f64 a b) (+.f64 a b))`
-	-	`a`
-	-	`b`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

204.0ms

512×

valid

Compiler

Compiled 37 to 16 computations (56.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 3.0ms (46.5% of total)

ival-mult: 3.0ms (46.5% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess90.0ms (1.8%)

Memory

11.9MiB live, 45.8MiB allocated

Algorithm

1×	egg-herbie

Rules

570×	`distribute-rgt-in`
518×	`unsub-neg`
446×	`distribute-lft-in`
286×	`distribute-lft-out`
280×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	50	35
2	210	35
3	533	35
4	1075	35
5	1970	35
6	2756	35
7	2900	35
8	2900	35
9	2900	35
10	2942	35
11	2958	35
0	4	7
0	6	7
1	13	7
2	29	7
3	57	7
4	80	7
5	96	7
6	105	7
7	111	7
0	111	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 a b) (+.f64 a b))

Outputs
(*.f64 (+.f64 a b) (+.f64 a b))

Symmetry

(sort a b)

Compiler

Compiled 9 to 4 computations (55.6% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(*.f64 (+.f64 a b) (+.f64 a b))

Compiler

Compiled 9 to 4 computations (55.6% saved)

simplify6.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 a b)
cost-diff	0	(*.f64 (+.f64 a b) (+.f64 a b))

Rules

124×	`lower-fma.f64`
124×	`lower-fma.f32`
86×	`lower-+.f32`
84×	`lower-+.f64`
50×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	12
0	6	12
1	13	12
2	29	12
3	57	12
4	80	12
5	96	12
6	105	12
7	111	12
0	111	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (+.f64 a b) (+.f64 a b))
(+.f64 a b)
a
b

Outputs
(*.f64 (+.f64 a b) (+.f64 a b))
(+.f64 a b)
a
b

localize36.0ms (0.7%)

Memory

-51.6MiB live, 20.0MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 a b)
accuracy	0.037441259768442016	(*.f64 (+.f64 a b) (+.f64 a b))

Samples

31.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 5.0ms (73.1% of total)

ival-add: 1.0ms (14.6% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

2 → 48

Calls

Call 1

Inputs
#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())
#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())

Outputs
#s(alt (pow b 2) (taylor 0 a) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow b 2)) (taylor 0 a) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ a (* 2 b))) (pow b 2)) (taylor 0 a) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ a (* 2 b))) (pow b 2)) (taylor 0 a) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor inf a) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor -inf a) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 b) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow a 2)) (taylor 0 b) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ b (* 2 a))) (pow a 2)) (taylor 0 b) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ b (* 2 a))) (pow a 2)) (taylor 0 b) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 2 (/ a b)))) (taylor inf b) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 2 (/ a b)))) (taylor -inf b) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b)))) (taylor -inf b) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b)))) (taylor -inf b) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt a (taylor inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ b a))) (taylor inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ b a))) (taylor inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ b a))) (taylor inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt a (taylor -inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 1))) (taylor -inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 1))) (taylor -inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 1))) (taylor -inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt a (taylor 0 b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt b (taylor inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ a b))) (taylor inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ a b))) (taylor inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ a b))) (taylor inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt b (taylor -inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ a b)) 1))) (taylor -inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ a b)) 1))) (taylor -inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ a b)) 1))) (taylor -inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	b	@	-inf	(* (+ a b) (+ a b))
0.0ms	a	@	inf	(* (+ a b) (+ a b))
0.0ms	b	@	inf	(* (+ a b) (+ a b))
0.0ms	a	@	-inf	(* (+ a b) (+ a b))
0.0ms	a	@	0	(* (+ a b) (+ a b))

simplify266.0ms (5.3%)

Memory

11.1MiB live, 207.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 026×	`lower-fma.f64`
7 026×	`lower-fma.f32`
2 898×	`lower-*.f64`
2 898×	`lower-*.f32`
1 650×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	264
1	193	264
2	490	264
3	1595	252
4	3905	252
5	6954	252
0	8103	222

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 42

Calls

Call 1

Inputs
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(pow a 2)
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
b
(+ a b)
(+ a b)
(+ a b)
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
a
(+ a b)
(+ a b)
(+ a b)
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))

Outputs
(pow b 2)
(*.f64 b b)
(+ (* 2 (* a b)) (pow b 2))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(pow a 2)
(*.f64 a a)
(+ (* 2 (* a b)) (pow a 2))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
b
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
a
(* a (+ 1 (/ b a)))
(+.f64 b a)
(* a (+ 1 (/ b a)))
(+.f64 b a)
(* a (+ 1 (/ b a)))
(+.f64 b a)
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 b a)
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 b a)
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 b a)
a
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
b
(* b (+ 1 (/ a b)))
(+.f64 b a)
(* b (+ 1 (/ a b)))
(+.f64 b a)
(* b (+ 1 (/ a b)))
(+.f64 b a)
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 b a)
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 b a)
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 b a)

rewrite462.0ms (9.2%)

Memory

1.7MiB live, 476.1MiB allocated

Rules

5 646×	`lower-*.f32`
5 644×	`lower-*.f64`
4 194×	`lower-fma.f64`
4 194×	`lower-fma.f32`
3 878×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	8
1	28	8
2	220	8
3	2817	8
0	9151	8

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

2 → 989

Calls

Call 1

Inputs
(*.f64 (+.f64 a b) (+.f64 a b))
(+.f64 a b)

Outputs
(+.f64 (.f64 a a) (fma.f64 a b (.f64 b (+.f64 a b))))
(+.f64 (.f64 b b) (fma.f64 a b (.f64 a (+.f64 a b))))
(+.f64 (.f64 a b) (fma.f64 a (+.f64 a b) (.f64 b b)))
(+.f64 (.f64 a b) (fma.f64 b b (.f64 a (+.f64 a b))))
(+.f64 (.f64 a (+.f64 a b)) (.f64 b (+.f64 a b)))
(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))
(+.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (.f64 a b))
(+.f64 (fma.f64 a (+.f64 a b) (.f64 a b)) (.f64 b b))
(+.f64 (fma.f64 b (+.f64 a b) (.f64 a b)) (.f64 a a))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a b))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 a b) (+.f64 a b))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (+.f64 a b))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (+.f64 a b)) (log.f64 (+.f64 a b))))
(-.f64 (/.f64 (.f64 (+.f64 a b) (.f64 a (.f64 a (+.f64 a b)))) (.f64 (+.f64 a b) (-.f64 a b))) (/.f64 (.f64 (+.f64 a b) (.f64 b (.f64 b (+.f64 a b)))) (.f64 (+.f64 a b) (-.f64 a b))))
(fma.f64 a a (fma.f64 a b (*.f64 b (+.f64 a b))))
(fma.f64 a b (fma.f64 a (+.f64 a b) (*.f64 b b)))
(fma.f64 a b (fma.f64 b b (*.f64 a (+.f64 a b))))
(fma.f64 a (+.f64 a b) (*.f64 b (+.f64 a b)))
(fma.f64 b a (fma.f64 a (+.f64 a b) (*.f64 b b)))
(fma.f64 b a (fma.f64 b b (*.f64 a (+.f64 a b))))
(fma.f64 b b (fma.f64 a b (*.f64 a (+.f64 a b))))
(fma.f64 b (+.f64 a b) (*.f64 a (+.f64 a b)))
(fma.f64 (+.f64 a b) a (*.f64 b (+.f64 a b)))
(fma.f64 (+.f64 a b) b (*.f64 a (+.f64 a b)))
(fma.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (.f64 b b))) a) (.f64 b (+.f64 a b)))
(fma.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (.f64 b b))) b) (.f64 a (+.f64 a b)))
(fma.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (/.f64 b (fma.f64 a (-.f64 a b) (.f64 b b))) (*.f64 a (+.f64 a b)))
(fma.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (/.f64 a (fma.f64 a (-.f64 a b) (.f64 b b))) (*.f64 b (+.f64 a b)))
(fma.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) a) (*.f64 b (+.f64 a b)))
(fma.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) b) (*.f64 a (+.f64 a b)))
(fma.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 b (-.f64 a b)) (.f64 a (+.f64 a b)))
(fma.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 a (-.f64 a b)) (.f64 b (+.f64 a b)))
(fma.f64 (neg.f64 b) (neg.f64 b) (fma.f64 a b (*.f64 a (+.f64 a b))))
(fma.f64 (.f64 b (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (.f64 b b))) (.f64 a (+.f64 a b)))
(fma.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) b)) (/.f64 #s(literal 1 binary64) (-.f64 a b)) (*.f64 a (+.f64 a b)))
(fma.f64 (.f64 a (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (.f64 b b))) (.f64 b (+.f64 a b)))
(fma.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) a)) (/.f64 #s(literal 1 binary64) (-.f64 a b)) (*.f64 b (+.f64 a b)))
(fma.f64 (/.f64 (.f64 b (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (fma.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a a)) (.f64 (.f64 b (-.f64 b a)) (.f64 (.f64 b (-.f64 b a)) (.f64 b (-.f64 b a)))))) (fma.f64 (.f64 b (-.f64 b a)) (-.f64 (.f64 b (-.f64 b a)) (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (+.f64 a b)))
(fma.f64 (/.f64 (.f64 b (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (-.f64 (.f64 a a) (.f64 b (-.f64 b a))))) (-.f64 (.f64 a a) (.f64 b (-.f64 b a))) (*.f64 a (+.f64 a b)))
(fma.f64 (/.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) b)) (.f64 (+.f64 a b) (-.f64 a b))) (+.f64 a b) (.f64 a (+.f64 a b)))
(fma.f64 (/.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) b)) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b))) (fma.f64 a (+.f64 a b) (.f64 b b)) (.f64 a (+.f64 a b)))
(fma.f64 (/.f64 (.f64 a (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (fma.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a a)) (.f64 (.f64 b (-.f64 b a)) (.f64 (.f64 b (-.f64 b a)) (.f64 b (-.f64 b a)))))) (fma.f64 (.f64 b (-.f64 b a)) (-.f64 (.f64 b (-.f64 b a)) (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))) (.f64 b (+.f64 a b)))
(fma.f64 (/.f64 (.f64 a (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (-.f64 (.f64 a a) (.f64 b (-.f64 b a))))) (-.f64 (.f64 a a) (.f64 b (-.f64 b a))) (*.f64 b (+.f64 a b)))
(fma.f64 (/.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) a)) (.f64 (+.f64 a b) (-.f64 a b))) (+.f64 a b) (.f64 b (+.f64 a b)))
(fma.f64 (/.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) a)) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b))) (fma.f64 a (+.f64 a b) (.f64 b b)) (.f64 b (+.f64 a b)))
(/.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
(/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 a b))))
(/.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (fma.f64 a (-.f64 a b) (.f64 b b))))
(/.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (-.f64 a b)))
(/.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (.f64 (-.f64 a b) (-.f64 a b))) (.f64 (-.f64 a b) (-.f64 a b)))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (+.f64 a b) (.f64 (+.f64 a b) (+.f64 a b))) (.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 a b) (.f64 (+.f64 a b) (+.f64 a b))))) (fma.f64 (.f64 b (+.f64 a b)) (-.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b))) (.f64 (+.f64 a b) (.f64 a (*.f64 a (+.f64 a b))))))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (+.f64 a b) (.f64 (+.f64 a b) (+.f64 a b))) (.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 a b) (.f64 (+.f64 a b) (+.f64 a b))))) (fma.f64 b (.f64 (+.f64 a b) (.f64 b (+.f64 a b))) (-.f64 (.f64 (+.f64 a b) (.f64 a (.f64 a (+.f64 a b)))) (.f64 (+.f64 a b) (.f64 a (*.f64 b (+.f64 a b)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 #s(literal 1 binary64) (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (fma.f64 a (-.f64 a b) (.f64 b b))) (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (-.f64 a b)) (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 a b) (-.f64 a b)) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (.f64 (-.f64 a b) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b (+.f64 a b)) (-.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b))) (.f64 (+.f64 a b) (.f64 a (.f64 a (+.f64 a b))))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (+.f64 a b) (.f64 (+.f64 a b) (+.f64 a b))) (.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 a b) (*.f64 (+.f64 a b) (+.f64 a b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (.f64 (+.f64 a b) (fma.f64 a (.f64 a a) (.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (.f64 (+.f64 a b) (.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (.f64 (+.f64 a b) (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (fma.f64 a (-.f64 a b) (*.f64 b b)))
(/.f64 (.f64 (+.f64 a b) (.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b))
(/.f64 (fma.f64 (.f64 a (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (fma.f64 a (-.f64 a b) (.f64 b b)) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (.f64 b (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))))) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (fma.f64 a (-.f64 a b) (.f64 b b))))
(/.f64 (fma.f64 (.f64 a (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (-.f64 a b) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (.f64 (+.f64 a b) (.f64 (-.f64 a b) b)))) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (-.f64 a b)))
(/.f64 (fma.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) a)) (fma.f64 a (-.f64 a b) (.f64 b b)) (.f64 (-.f64 a b) (.f64 b (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))))) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (-.f64 a b)))
(/.f64 (fma.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) a)) (-.f64 a b) (.f64 (-.f64 a b) (.f64 (+.f64 a b) (.f64 (-.f64 a b) b)))) (.f64 (-.f64 a b) (-.f64 a b)))
(/.f64 (fma.f64 (.f64 b (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (fma.f64 a (-.f64 a b) (.f64 b b)) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (.f64 a (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))))) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (fma.f64 a (-.f64 a b) (.f64 b b))))
(/.f64 (fma.f64 (.f64 b (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (-.f64 a b) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (.f64 (+.f64 a b) (.f64 (-.f64 a b) a)))) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (-.f64 a b)))
(/.f64 (fma.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) b)) (fma.f64 a (-.f64 a b) (.f64 b b)) (.f64 (-.f64 a b) (.f64 a (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))))) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (-.f64 a b)))
(/.f64 (fma.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) b)) (-.f64 a b) (.f64 (-.f64 a b) (.f64 (+.f64 a b) (.f64 (-.f64 a b) a)))) (.f64 (-.f64 a b) (-.f64 a b)))
(/.f64 (.f64 (neg.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))) (-.f64 a b)))
(/.f64 (.f64 (neg.f64 (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (neg.f64 (-.f64 a b)) (-.f64 a b)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 a b)))
(/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (-.f64 b a) (-.f64 a b)))
(/.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (neg.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))))) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (neg.f64 (fma.f64 a (-.f64 a b) (.f64 b b)))))
(/.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (neg.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (neg.f64 (-.f64 a b))))
(/.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) #s(literal 1 binary64)) (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 a b))))
(/.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (+.f64 a b) (-.f64 b a))) (.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (-.f64 b a)))
(/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (neg.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))))) (.f64 (-.f64 a b) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (neg.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (.f64 (-.f64 a b) (neg.f64 (-.f64 a b))))
(/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 b a))) (.f64 (-.f64 a b) (-.f64 b a)))
(/.f64 (.f64 (neg.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (.f64 (neg.f64 (fma.f64 a (-.f64 a b) (.f64 b b))) (fma.f64 a (-.f64 a b) (.f64 b b))))
(/.f64 (.f64 (neg.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (neg.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (.f64 (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))) (neg.f64 (-.f64 a b))))
(/.f64 (.f64 (neg.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (.f64 (neg.f64 (fma.f64 a (-.f64 a b) (.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 a b))))
(/.f64 (.f64 (neg.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (.f64 (+.f64 a b) (-.f64 b a))) (.f64 (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))) (-.f64 b a)))
(/.f64 (.f64 (neg.f64 (.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (.f64 (neg.f64 (-.f64 a b)) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 (.f64 (neg.f64 (.f64 (+.f64 a b) (-.f64 a b))) (neg.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))))) (.f64 (neg.f64 (-.f64 a b)) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/.f64 (.f64 (neg.f64 (.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1 binary64)) (*.f64 (neg.f64 (-.f64 a b)) (/.f64 #s(literal 1 binary64) (+.f64 a b))))
(/.f64 (.f64 (neg.f64 (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (+.f64 a b) (-.f64 b a))) (.f64 (neg.f64 (-.f64 a b)) (-.f64 b a)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (fma.f64 a (-.f64 a b) (.f64 b b))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (neg.f64 (fma.f64 a (-.f64 a b) (.f64 b b)))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (neg.f64 (-.f64 a b))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 b a))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)))
(/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (.f64 (-.f64 b a) (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (neg.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))))) (.f64 (-.f64 b a) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)))))
(/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (neg.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (.f64 (-.f64 b a) (neg.f64 (-.f64 a b))))
(/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 b a)) #s(literal 1 binary64)) (*.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (+.f64 a b))))
(/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 (+.f64 a b) (-.f64 b a))) (.f64 (-.f64 b a) (-.f64 b a)))
(/.f64 (neg.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))))) (neg.f64 (.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (fma.f64 a (-.f64 a b) (.f64 b b)))))
(/.f64 (neg.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (+.f64 a b) (-.f64 a b)))) (neg.f64 (.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (-.f64 a b))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (.f64 (-.f64 a b) (-.f64 a b)))) (neg.f64 (.f64 (-.f64 a b) (-.f64 a b))))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (+.f64 a b) (.f64 (+.f64 a b) (+.f64 a b))) (.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 a b) (.f64 (+.f64 a b) (+.f64 a b)))))) (neg.f64 (fma.f64 (.f64 b (+.f64 a b)) (-.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b))) (.f64 (+.f64 a b) (.f64 a (*.f64 a (+.f64 a b)))))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b)))) (neg.f64 (.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (neg.f64 (.f64 (+.f64 a b) (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 (neg.f64 (.f64 (+.f64 a b) (.f64 (+.f64 a b) (-.f64 a b)))) (neg.f64 (-.f64 a b)))
(/.f64 (-.f64 (.f64 (+.f64 a b) (.f64 b (.f64 b (+.f64 a b)))) (.f64 (+.f64 a b) (.f64 a (.f64 a (+.f64 a b))))) (-.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b))))
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(.f64 (pow.f64 (/.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b))))
(.f64 (pow.f64 (/.f64 (-.f64 a b) (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))))))
(.f64 (pow.f64 (/.f64 (-.f64 a b) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(.f64 (exp.f64 (log.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))))) (exp.f64 (neg.f64 (log.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))))
(.f64 (exp.f64 (log.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (exp.f64 (neg.f64 (log.f64 (-.f64 a b)))))

eval321.0ms (6.4%)

Memory: 3.4MiB live, 392.3MiB allocated
Compiler: Compiled 52 177 to 2 960 computations (94.3% saved)

prune232.0ms (4.6%)

Memory

-2.9MiB live, 390.7MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	1 138	3	1 141
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	1 138	4	1 142

Accuracy

100.0%

Counts

1 142 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(*.f64 (+.f64 a b) (+.f64 a b))
▶	100.0%	#s(approx (* (+ a b) (+ a b)) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a))))
▶	99.6%	#s(approx (* (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b)))
▶	98.3%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 36 to 18 computations (50% saved)

simplify9.0ms (0.2%)

Memory

-19.4MiB live, 18.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 b #s(literal 2 binary64) a)
cost-diff	0	(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
cost-diff	0	#s(approx (* (+ a b) (+ a b)) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a))))
cost-diff	384	(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
cost-diff	0	(fma.f64 #s(literal 2 binary64) a b)
cost-diff	0	(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
cost-diff	0	#s(approx (* (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b)))
cost-diff	0	(*.f64 b b)
cost-diff	0	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Rules

124×	`lower-fma.f32`
118×	`lower-fma.f64`
86×	`lower-+.f64`
86×	`lower-+.f32`
48×	`associate-+r+`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	14	81
0	22	79
1	45	79
2	77	79
3	110	79
4	128	77
5	141	77
6	149	77
0	149	77

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
(*.f64 b b)
b
#s(approx (* (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b)))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
b
(fma.f64 #s(literal 2 binary64) a b)
#s(literal 2 binary64)
a
#s(approx (* (+ a b) (+ a b)) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
b
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
a
(fma.f64 b #s(literal 2 binary64) a)
#s(literal 2 binary64)

Outputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
(*.f64 b b)
b
#s(approx (* (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b)))
#s(approx (* (+ a b) (+ a b)) (*.f64 b (+.f64 a (+.f64 a b))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(*.f64 b (+.f64 a (+.f64 a b)))
b
(fma.f64 #s(literal 2 binary64) a b)
(+.f64 a (+.f64 a b))
#s(literal 2 binary64)
a
#s(approx (* (+ a b) (+ a b)) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a))))
#s(approx (* (+ a b) (+ a b)) (*.f64 (+.f64 a b) (+.f64 a b)))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(*.f64 (+.f64 a b) (+.f64 a b))
b
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(*.f64 a (+.f64 a (+.f64 b b)))
a
(fma.f64 b #s(literal 2 binary64) a)
(+.f64 a (+.f64 b b))
#s(literal 2 binary64)

localize37.0ms (0.7%)

Memory

3.4MiB live, 81.0MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
accuracy	0	(fma.f64 b #s(literal 2 binary64) a)
accuracy	0	#s(approx (* (+ a b) (+ a b)) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a))))
accuracy	0.015625	(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
accuracy	0	(fma.f64 #s(literal 2 binary64) a b)
accuracy	0.01171875	(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
accuracy	0.25550820751008246	#s(approx (* (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b)))
accuracy	0	(*.f64 b b)
accuracy	1.0820266334751334	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Samples

24.0ms

256×

valid

Compiler

Compiled 68 to 15 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 10.0ms (68.4% of total)

ival-add: 5.0ms (34.2% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series34.0ms (0.7%)

Memory

-18.5MiB live, 24.4MiB allocated

Counts

9 → 204

Calls

Call 1

Inputs
#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())
#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b (fma.f64 #s(literal 2 binary64) a b))) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b))) #<representation binary64>) () ())
#s(alt (.f64 b (fma.f64 #s(literal 2 binary64) a b)) (patch (.f64 b (fma.f64 #s(literal 2 binary64) a b)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 2 binary64) a b) (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())
#s(alt (fma.f64 b b (.f64 a (fma.f64 b #s(literal 2 binary64) a))) (patch (fma.f64 b b (.f64 a (fma.f64 b #s(literal 2 binary64) a))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 b b (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (patch #s(approx ( (+ a b) (+ a b)) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))) #<representation binary64>) () ())
#s(alt (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (patch (.f64 a (fma.f64 b #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt (fma.f64 b #s(literal 2 binary64) a) (patch (fma.f64 b #s(literal 2 binary64) a) #<representation binary64>) () ())

Outputs
#s(alt (pow b 2) (taylor 0 a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow b 2)) (taylor 0 a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ a (* 2 b))) (pow b 2)) (taylor 0 a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ a (* 2 b))) (pow b 2)) (taylor 0 a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ b (* 2 a))) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ b (* 2 a))) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 2 (/ a b)))) (taylor inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 2 (/ a b)))) (taylor -inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b)))) (taylor -inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b)))) (taylor -inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b (fma.f64 #s(literal 2 binary64) a b))) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow b 2)) (taylor 0 a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b (fma.f64 #s(literal 2 binary64) a b))) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ a (* 2 b))) (pow b 2)) (taylor 0 a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b (fma.f64 #s(literal 2 binary64) a b))) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ a (* 2 b))) (pow b 2)) (taylor 0 a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b (fma.f64 #s(literal 2 binary64) a b))) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b (fma.f64 #s(literal 2 binary64) a b))) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b (fma.f64 #s(literal 2 binary64) a b))) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b (fma.f64 #s(literal 2 binary64) a b))) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b (fma.f64 #s(literal 2 binary64) a b))) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b (fma.f64 #s(literal 2 binary64) a b))) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b (fma.f64 #s(literal 2 binary64) a b))) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b (fma.f64 #s(literal 2 binary64) a b))) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b (fma.f64 #s(literal 2 binary64) a b))) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b (fma.f64 #s(literal 2 binary64) a b))) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b (fma.f64 #s(literal 2 binary64) a b))) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ b (* 2 a))) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b (fma.f64 #s(literal 2 binary64) a b))) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ b (* 2 a))) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b (fma.f64 #s(literal 2 binary64) a b))) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b (fma.f64 #s(literal 2 binary64) a b))) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 2 (/ a b)))) (taylor inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b (fma.f64 #s(literal 2 binary64) a b))) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b (fma.f64 #s(literal 2 binary64) a b))) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b (fma.f64 #s(literal 2 binary64) a b))) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 b b (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (patch #s(approx ( (+ a b) (+ a b)) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 b b (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (patch #s(approx ( (+ a b) (+ a b)) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 b b (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (patch #s(approx ( (+ a b) (+ a b)) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 b b (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (patch #s(approx ( (+ a b) (+ a b)) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 b b (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (patch #s(approx ( (+ a b) (+ a b)) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 b) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 b b (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (patch #s(approx ( (+ a b) (+ a b)) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 b b (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (patch #s(approx ( (+ a b) (+ a b)) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ b (* 2 a))) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 b b (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (patch #s(approx ( (+ a b) (+ a b)) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ b (* 2 a))) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 b b (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (patch #s(approx ( (+ a b) (+ a b)) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 b b (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (patch #s(approx ( (+ a b) (+ a b)) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 2 (/ a b)))) (taylor inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 b b (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (patch #s(approx ( (+ a b) (+ a b)) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 b b (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (patch #s(approx ( (+ a b) (+ a b)) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 b b (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (patch #s(approx ( (+ a b) (+ a b)) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 b b (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (patch #s(approx ( (+ a b) (+ a b)) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 2 (/ a b)))) (taylor -inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 b b (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (patch #s(approx ( (+ a b) (+ a b)) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b)))) (taylor -inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 b b (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (patch #s(approx ( (+ a b) (+ a b)) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b)))) (taylor -inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 b b (.f64 a (fma.f64 b #s(literal 2 binary64) a)))) (patch #s(approx ( (+ a b) (+ a b)) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor 0 a) (#s(alt (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (patch (.f64 a (fma.f64 b #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ a (* 2 b))) (taylor 0 a) (#s(alt (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (patch (.f64 a (fma.f64 b #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ a (* 2 b))) (taylor 0 a) (#s(alt (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (patch (.f64 a (fma.f64 b #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ a (* 2 b))) (taylor 0 a) (#s(alt (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (patch (.f64 a (fma.f64 b #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (patch (.f64 a (fma.f64 b #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor inf a) (#s(alt (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (patch (.f64 a (fma.f64 b #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor inf a) (#s(alt (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (patch (.f64 a (fma.f64 b #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor inf a) (#s(alt (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (patch (.f64 a (fma.f64 b #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (patch (.f64 a (fma.f64 b #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor -inf a) (#s(alt (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (patch (.f64 a (fma.f64 b #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor -inf a) (#s(alt (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (patch (.f64 a (fma.f64 b #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor -inf a) (#s(alt (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (patch (.f64 a (fma.f64 b #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 b) (#s(alt (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (patch (.f64 a (fma.f64 b #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow a 2)) (taylor 0 b) (#s(alt (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (patch (.f64 a (fma.f64 b #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow a 2)) (taylor 0 b) (#s(alt (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (patch (.f64 a (fma.f64 b #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow a 2)) (taylor 0 b) (#s(alt (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (patch (.f64 a (fma.f64 b #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor inf b) (#s(alt (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (patch (.f64 a (fma.f64 b #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* 2 a) (/ (pow a 2) b))) (taylor inf b) (#s(alt (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (patch (.f64 a (fma.f64 b #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* 2 a) (/ (pow a 2) b))) (taylor inf b) (#s(alt (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (patch (.f64 a (fma.f64 b #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* 2 a) (/ (pow a 2) b))) (taylor inf b) (#s(alt (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (patch (.f64 a (fma.f64 b #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor -inf b) (#s(alt (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (patch (.f64 a (fma.f64 b #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -2 a) (* -1 (/ (pow a 2) b))))) (taylor -inf b) (#s(alt (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (patch (.f64 a (fma.f64 b #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -2 a) (* -1 (/ (pow a 2) b))))) (taylor -inf b) (#s(alt (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (patch (.f64 a (fma.f64 b #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -2 a) (* -1 (/ (pow a 2) b))))) (taylor -inf b) (#s(alt (.f64 a (fma.f64 b #s(literal 2 binary64) a)) (patch (.f64 a (fma.f64 b #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt a (taylor 0 b) (#s(alt (fma.f64 b #s(literal 2 binary64) a) (patch (fma.f64 b #s(literal 2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (+ a (* 2 b)) (taylor 0 b) (#s(alt (fma.f64 b #s(literal 2 binary64) a) (patch (fma.f64 b #s(literal 2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (+ a (* 2 b)) (taylor 0 b) (#s(alt (fma.f64 b #s(literal 2 binary64) a) (patch (fma.f64 b #s(literal 2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (+ a (* 2 b)) (taylor 0 b) (#s(alt (fma.f64 b #s(literal 2 binary64) a) (patch (fma.f64 b #s(literal 2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor inf b) (#s(alt (fma.f64 b #s(literal 2 binary64) a) (patch (fma.f64 b #s(literal 2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (* b (+ 2 (/ a b))) (taylor inf b) (#s(alt (fma.f64 b #s(literal 2 binary64) a) (patch (fma.f64 b #s(literal 2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (* b (+ 2 (/ a b))) (taylor inf b) (#s(alt (fma.f64 b #s(literal 2 binary64) a) (patch (fma.f64 b #s(literal 2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (* b (+ 2 (/ a b))) (taylor inf b) (#s(alt (fma.f64 b #s(literal 2 binary64) a) (patch (fma.f64 b #s(literal 2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor -inf b) (#s(alt (fma.f64 b #s(literal 2 binary64) a) (patch (fma.f64 b #s(literal 2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ a b)) 2))) (taylor -inf b) (#s(alt (fma.f64 b #s(literal 2 binary64) a) (patch (fma.f64 b #s(literal 2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ a b)) 2))) (taylor -inf b) (#s(alt (fma.f64 b #s(literal 2 binary64) a) (patch (fma.f64 b #s(literal 2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ a b)) 2))) (taylor -inf b) (#s(alt (fma.f64 b #s(literal 2 binary64) a) (patch (fma.f64 b #s(literal 2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor 0 a) (#s(alt (fma.f64 b #s(literal 2 binary64) a) (patch (fma.f64 b #s(literal 2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (+ a (* 2 b)) (taylor 0 a) (#s(alt (fma.f64 b #s(literal 2 binary64) a) (patch (fma.f64 b #s(literal 2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (+ a (* 2 b)) (taylor 0 a) (#s(alt (fma.f64 b #s(literal 2 binary64) a) (patch (fma.f64 b #s(literal 2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (+ a (* 2 b)) (taylor 0 a) (#s(alt (fma.f64 b #s(literal 2 binary64) a) (patch (fma.f64 b #s(literal 2 binary64) a) #<representation binary64>) () ())) ())
#s(alt a (taylor inf a) (#s(alt (fma.f64 b #s(literal 2 binary64) a) (patch (fma.f64 b #s(literal 2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 2 (/ b a)))) (taylor inf a) (#s(alt (fma.f64 b #s(literal 2 binary64) a) (patch (fma.f64 b #s(literal 2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 2 (/ b a)))) (taylor inf a) (#s(alt (fma.f64 b #s(literal 2 binary64) a) (patch (fma.f64 b #s(literal 2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* 2 (/ b a)))) (taylor inf a) (#s(alt (fma.f64 b #s(literal 2 binary64) a) (patch (fma.f64 b #s(literal 2 binary64) a) #<representation binary64>) () ())) ())
#s(alt a (taylor -inf a) (#s(alt (fma.f64 b #s(literal 2 binary64) a) (patch (fma.f64 b #s(literal 2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -2 (/ b a)) 1))) (taylor -inf a) (#s(alt (fma.f64 b #s(literal 2 binary64) a) (patch (fma.f64 b #s(literal 2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -2 (/ b a)) 1))) (taylor -inf a) (#s(alt (fma.f64 b #s(literal 2 binary64) a) (patch (fma.f64 b #s(literal 2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -2 (/ b a)) 1))) (taylor -inf a) (#s(alt (fma.f64 b #s(literal 2 binary64) a) (patch (fma.f64 b #s(literal 2 binary64) a) #<representation binary64>) () ())) ())

Calls

51 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(* b (+ (* 2 a) b))
0.0ms	b	@	-inf	(* b (+ (* 2 a) b))
0.0ms	b	@	0	(* b (+ (* 2 a) b))
0.0ms	b	@	0	(* b b)
0.0ms	a	@	inf	(* b (+ (* 2 a) b))

simplify172.0ms (3.4%)

Memory

21.7MiB live, 283.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 438×	`lower-fma.f64`
8 438×	`lower-fma.f32`
2 840×	`lower-*.f64`
2 840×	`lower-*.f32`
1 688×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	1428
1	269	1428
2	747	1428
3	2260	1308
4	4721	1308
5	7693	1308
0	8166	1116

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 198

Calls

Call 1

Inputs
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(pow a 2)
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(pow a 2)
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* 2 (* a b))
(* b (+ b (* 2 a)))
(* b (+ b (* 2 a)))
(* b (+ b (* 2 a)))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* 2 (* a b)) (pow b 2))
(+ (* 2 (* a b)) (pow b 2))
(* 2 (* a b))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* 2 (* a b))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
b
(+ b (* 2 a))
(+ b (* 2 a))
(+ b (* 2 a))
(* 2 a)
(* a (+ 2 (/ b a)))
(* a (+ 2 (/ b a)))
(* a (+ 2 (/ b a)))
(* 2 a)
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* 2 a)
(+ b (* 2 a))
(+ b (* 2 a))
(+ b (* 2 a))
b
(* b (+ 1 (* 2 (/ a b))))
(* b (+ 1 (* 2 (/ a b))))
(* b (+ 1 (* 2 (/ a b))))
b
(* -1 (* b (- (* -2 (/ a b)) 1)))
(* -1 (* b (- (* -2 (/ a b)) 1)))
(* -1 (* b (- (* -2 (/ a b)) 1)))
(pow a 2)
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(pow a 2)
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* 2 (* a b))
(* a (+ a (* 2 b)))
(* a (+ a (* 2 b)))
(* a (+ a (* 2 b)))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(pow a 2)
(+ (* 2 (* a b)) (pow a 2))
(+ (* 2 (* a b)) (pow a 2))
(+ (* 2 (* a b)) (pow a 2))
(* 2 (* a b))
(* b (+ (* 2 a) (/ (pow a 2) b)))
(* b (+ (* 2 a) (/ (pow a 2) b)))
(* b (+ (* 2 a) (/ (pow a 2) b)))
(* 2 (* a b))
(* -1 (* b (+ (* -2 a) (* -1 (/ (pow a 2) b)))))
(* -1 (* b (+ (* -2 a) (* -1 (/ (pow a 2) b)))))
(* -1 (* b (+ (* -2 a) (* -1 (/ (pow a 2) b)))))
a
(+ a (* 2 b))
(+ a (* 2 b))
(+ a (* 2 b))
(* 2 b)
(* b (+ 2 (/ a b)))
(* b (+ 2 (/ a b)))
(* b (+ 2 (/ a b)))
(* 2 b)
(* -1 (* b (- (* -1 (/ a b)) 2)))
(* -1 (* b (- (* -1 (/ a b)) 2)))
(* -1 (* b (- (* -1 (/ a b)) 2)))
(* 2 b)
(+ a (* 2 b))
(+ a (* 2 b))
(+ a (* 2 b))
a
(* a (+ 1 (* 2 (/ b a))))
(* a (+ 1 (* 2 (/ b a))))
(* a (+ 1 (* 2 (/ b a))))
a
(* -1 (* a (- (* -2 (/ b a)) 1)))
(* -1 (* a (- (* -2 (/ b a)) 1)))
(* -1 (* a (- (* -2 (/ b a)) 1)))

Outputs
(pow b 2)
(*.f64 b b)
(+ (* 2 (* a b)) (pow b 2))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(pow a 2)
(*.f64 a a)
(+ (* 2 (* a b)) (pow a 2))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(+ (* 2 (* a b)) (pow b 2))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(pow a 2)
(*.f64 a a)
(+ (* 2 (* a b)) (pow a 2))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(* 2 (* a b))
(.f64 b (.f64 #s(literal 2 binary64) a))
(* b (+ b (* 2 a)))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* b (+ b (* 2 a)))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* b (+ b (* 2 a)))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(pow b 2)
(*.f64 b b)
(+ (* 2 (* a b)) (pow b 2))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(+ (* 2 (* a b)) (pow b 2))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(+ (* 2 (* a b)) (pow b 2))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* 2 (* a b))
(.f64 b (.f64 #s(literal 2 binary64) a))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* 2 (* a b))
(.f64 b (.f64 #s(literal 2 binary64) a))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
b
(+ b (* 2 a))
(fma.f64 #s(literal 2 binary64) a b)
(+ b (* 2 a))
(fma.f64 #s(literal 2 binary64) a b)
(+ b (* 2 a))
(fma.f64 #s(literal 2 binary64) a b)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* a (+ 2 (/ b a)))
(fma.f64 #s(literal 2 binary64) a b)
(* a (+ 2 (/ b a)))
(fma.f64 #s(literal 2 binary64) a b)
(* a (+ 2 (/ b a)))
(fma.f64 #s(literal 2 binary64) a b)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* -1 (* a (- (* -1 (/ b a)) 2)))
(fma.f64 #s(literal 2 binary64) a b)
(* -1 (* a (- (* -1 (/ b a)) 2)))
(fma.f64 #s(literal 2 binary64) a b)
(* -1 (* a (- (* -1 (/ b a)) 2)))
(fma.f64 #s(literal 2 binary64) a b)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(+ b (* 2 a))
(fma.f64 #s(literal 2 binary64) a b)
(+ b (* 2 a))
(fma.f64 #s(literal 2 binary64) a b)
(+ b (* 2 a))
(fma.f64 #s(literal 2 binary64) a b)
b
(* b (+ 1 (* 2 (/ a b))))
(fma.f64 #s(literal 2 binary64) a b)
(* b (+ 1 (* 2 (/ a b))))
(fma.f64 #s(literal 2 binary64) a b)
(* b (+ 1 (* 2 (/ a b))))
(fma.f64 #s(literal 2 binary64) a b)
b
(* -1 (* b (- (* -2 (/ a b)) 1)))
(fma.f64 #s(literal 2 binary64) a b)
(* -1 (* b (- (* -2 (/ a b)) 1)))
(fma.f64 #s(literal 2 binary64) a b)
(* -1 (* b (- (* -2 (/ a b)) 1)))
(fma.f64 #s(literal 2 binary64) a b)
(pow a 2)
(*.f64 a a)
(+ (* 2 (* a b)) (pow a 2))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(pow b 2)
(*.f64 b b)
(+ (* 2 (* a b)) (pow b 2))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(pow b 2)
(*.f64 b b)
(+ (* 2 (* a b)) (pow b 2))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(pow a 2)
(*.f64 a a)
(+ (* 2 (* a b)) (pow a 2))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
(* 2 (* a b))
(.f64 b (.f64 #s(literal 2 binary64) a))
(* a (+ a (* 2 b)))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(* a (+ a (* 2 b)))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(* a (+ a (* 2 b)))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(pow a 2)
(*.f64 a a)
(+ (* 2 (* a b)) (pow a 2))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(+ (* 2 (* a b)) (pow a 2))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(+ (* 2 (* a b)) (pow a 2))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(* 2 (* a b))
(.f64 b (.f64 #s(literal 2 binary64) a))
(* b (+ (* 2 a) (/ (pow a 2) b)))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(* b (+ (* 2 a) (/ (pow a 2) b)))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(* b (+ (* 2 a) (/ (pow a 2) b)))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(* 2 (* a b))
(.f64 b (.f64 #s(literal 2 binary64) a))
(* -1 (* b (+ (* -2 a) (* -1 (/ (pow a 2) b)))))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(* -1 (* b (+ (* -2 a) (* -1 (/ (pow a 2) b)))))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(* -1 (* b (+ (* -2 a) (* -1 (/ (pow a 2) b)))))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
a
(+ a (* 2 b))
(fma.f64 b #s(literal 2 binary64) a)
(+ a (* 2 b))
(fma.f64 b #s(literal 2 binary64) a)
(+ a (* 2 b))
(fma.f64 b #s(literal 2 binary64) a)
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* b (+ 2 (/ a b)))
(fma.f64 b #s(literal 2 binary64) a)
(* b (+ 2 (/ a b)))
(fma.f64 b #s(literal 2 binary64) a)
(* b (+ 2 (/ a b)))
(fma.f64 b #s(literal 2 binary64) a)
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* -1 (* b (- (* -1 (/ a b)) 2)))
(fma.f64 b #s(literal 2 binary64) a)
(* -1 (* b (- (* -1 (/ a b)) 2)))
(fma.f64 b #s(literal 2 binary64) a)
(* -1 (* b (- (* -1 (/ a b)) 2)))
(fma.f64 b #s(literal 2 binary64) a)
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(+ a (* 2 b))
(fma.f64 b #s(literal 2 binary64) a)
(+ a (* 2 b))
(fma.f64 b #s(literal 2 binary64) a)
(+ a (* 2 b))
(fma.f64 b #s(literal 2 binary64) a)
a
(* a (+ 1 (* 2 (/ b a))))
(fma.f64 b #s(literal 2 binary64) a)
(* a (+ 1 (* 2 (/ b a))))
(fma.f64 b #s(literal 2 binary64) a)
(* a (+ 1 (* 2 (/ b a))))
(fma.f64 b #s(literal 2 binary64) a)
a
(* -1 (* a (- (* -2 (/ b a)) 1)))
(fma.f64 b #s(literal 2 binary64) a)
(* -1 (* a (- (* -2 (/ b a)) 1)))
(fma.f64 b #s(literal 2 binary64) a)
(* -1 (* a (- (* -2 (/ b a)) 1)))
(fma.f64 b #s(literal 2 binary64) a)

rewrite399.0ms (7.9%)

Memory

-4.0MiB live, 436.2MiB allocated

Rules

10 360×	`lower-fma.f32`
10 354×	`lower-fma.f64`
6 320×	`lower-*.f32`
6 314×	`lower-*.f64`
4 436×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	74
0	22	68
1	88	68
2	749	68
0	8474	68

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

9 → 360

Calls

Call 1

Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
(*.f64 b b)
#s(approx (* (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b)))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(fma.f64 #s(literal 2 binary64) a b)
(fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a)))
#s(approx (* (+ a b) (+ a b)) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a))))
(*.f64 a (fma.f64 b #s(literal 2 binary64) a))
(fma.f64 b #s(literal 2 binary64) a)

Outputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
(exp.f64 (log.f64 (*.f64 b b)))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(*.f64 b b)
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
#s(approx (* (+ a b) (+ a b)) (*.f64 b (fma.f64 a #s(literal 2 binary64) b)))
(+.f64 (.f64 b b) (.f64 a (*.f64 b #s(literal 2 binary64))))
(+.f64 (.f64 a (.f64 b #s(literal 2 binary64))) (*.f64 b b))
(-.f64 (/.f64 (.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal 4 binary64))) (.f64 b (-.f64 (.f64 a #s(literal 2 binary64)) b))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (-.f64 (*.f64 a #s(literal 2 binary64)) b))))
(fma.f64 a (.f64 b #s(literal 2 binary64)) (.f64 b b))
(fma.f64 b b (.f64 a (.f64 b #s(literal 2 binary64))))
(fma.f64 b (.f64 a #s(literal 2 binary64)) (.f64 b b))
(fma.f64 #s(literal 2 binary64) (.f64 a b) (.f64 b b))
(fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))
(fma.f64 (.f64 a #s(literal 2 binary64)) b (.f64 b b))
(fma.f64 (.f64 a b) #s(literal 2 binary64) (.f64 b b))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (.f64 a (.f64 b #s(literal 2 binary64))))
(/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 2 binary64) b)))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 (.f64 b b) #s(literal 8 binary64))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 a (.f64 (.f64 a #s(literal 4 binary64)) (.f64 b b)) (.f64 (.f64 b b) (.f64 b (+.f64 b (*.f64 a #s(literal -2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (.f64 (.f64 a #s(literal 4 binary64)) (.f64 b b)) (.f64 (.f64 b b) (.f64 b (+.f64 b (.f64 a #s(literal -2 binary64)))))) (fma.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 (.f64 b b) #s(literal 8 binary64))) (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b (-.f64 (.f64 a #s(literal 2 binary64)) b)) (.f64 (.f64 b (fma.f64 a #s(literal 2 binary64) b)) (.f64 b (-.f64 (.f64 a #s(literal 2 binary64)) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (+.f64 b (.f64 a #s(literal -2 binary64))) (.f64 (.f64 a a) #s(literal 4 binary64))) (.f64 b (fma.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)) (.f64 b (.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a #s(literal 2 binary64)) b) (.f64 b (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (+.f64 b (.f64 a #s(literal -2 binary64))) (.f64 (.f64 a a) #s(literal 4 binary64))) (.f64 (fma.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)) (.f64 b (.f64 b b))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a #s(literal 2 binary64)) b) (.f64 (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (*.f64 b b)) b)))
(/.f64 (.f64 (.f64 b (fma.f64 a #s(literal 2 binary64) b)) (.f64 b (-.f64 (.f64 a #s(literal 2 binary64)) b))) (.f64 b (-.f64 (.f64 a #s(literal 2 binary64)) b)))
(/.f64 (.f64 (.f64 b (fma.f64 a #s(literal 2 binary64) b)) (.f64 b (+.f64 b (.f64 a #s(literal -2 binary64))))) (.f64 b (+.f64 b (.f64 a #s(literal -2 binary64)))))
(/.f64 (.f64 b (fma.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)) (.f64 b (.f64 b b)))) (fma.f64 b (+.f64 b (.f64 a #s(literal -2 binary64))) (.f64 (.f64 a a) #s(literal 4 binary64))))
(/.f64 (.f64 b (fma.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)) (.f64 b (.f64 b b)))) (fma.f64 b b (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (.f64 a #s(literal 2 binary64)) b))))
(/.f64 (.f64 b (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b))) (-.f64 (*.f64 a #s(literal 2 binary64)) b))
(/.f64 (.f64 (fma.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)) (.f64 b (.f64 b b))) b) (fma.f64 b (+.f64 b (.f64 a #s(literal -2 binary64))) (.f64 (.f64 a a) #s(literal 4 binary64))))
(/.f64 (.f64 (fma.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)) (.f64 b (.f64 b b))) b) (fma.f64 b b (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (.f64 a #s(literal 2 binary64)) b))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b)) b) (-.f64 (*.f64 a #s(literal 2 binary64)) b))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 (.f64 b b) #s(literal 8 binary64))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (neg.f64 (fma.f64 a (.f64 (.f64 a #s(literal 4 binary64)) (.f64 b b)) (.f64 (.f64 b b) (.f64 b (+.f64 b (*.f64 a #s(literal -2 binary64))))))))
(/.f64 (neg.f64 (.f64 (.f64 b (fma.f64 a #s(literal 2 binary64) b)) (.f64 b (-.f64 (.f64 a #s(literal 2 binary64)) b)))) (neg.f64 (.f64 b (-.f64 (.f64 a #s(literal 2 binary64)) b))))
(/.f64 (neg.f64 (.f64 b (fma.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)) (.f64 b (.f64 b b))))) (neg.f64 (fma.f64 b (+.f64 b (.f64 a #s(literal -2 binary64))) (.f64 (.f64 a a) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 b (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b)))) (neg.f64 (-.f64 (*.f64 a #s(literal 2 binary64)) b)))
(/.f64 (neg.f64 (.f64 (fma.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)) (.f64 b (.f64 b b))) b)) (neg.f64 (fma.f64 b (+.f64 b (.f64 a #s(literal -2 binary64))) (.f64 (.f64 a a) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b)) b)) (neg.f64 (-.f64 (*.f64 a #s(literal 2 binary64)) b)))
(/.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 (.f64 b b) #s(literal 8 binary64))))) (fma.f64 b (.f64 b (.f64 b b)) (-.f64 (.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal 4 binary64))) (.f64 (.f64 b b) (.f64 a (.f64 b #s(literal 2 binary64)))))))
(/.f64 (.f64 b (neg.f64 (fma.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)) (.f64 b (.f64 b b))))) (neg.f64 (fma.f64 b (+.f64 b (.f64 a #s(literal -2 binary64))) (.f64 (.f64 a a) #s(literal 4 binary64)))))
(/.f64 (.f64 b (neg.f64 (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b)))) (neg.f64 (-.f64 (*.f64 a #s(literal 2 binary64)) b)))
(/.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 2 binary64) b)))
(/.f64 (.f64 b (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a a)))) (+.f64 b (.f64 a #s(literal -2 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)) (.f64 b (.f64 b b)))) b) (neg.f64 (fma.f64 b (+.f64 b (.f64 a #s(literal -2 binary64))) (.f64 (.f64 a a) #s(literal 4 binary64)))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b))) b) (neg.f64 (-.f64 (*.f64 a #s(literal 2 binary64)) b)))
(/.f64 (*.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 2 binary64) b)))
(/.f64 (.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a a))) b) (+.f64 b (.f64 a #s(literal -2 binary64))))
(*.f64 b (fma.f64 a #s(literal 2 binary64) b))
(*.f64 (fma.f64 a #s(literal 2 binary64) b) b)
(.f64 (fma.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)) (.f64 b (.f64 b b))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b (.f64 a #s(literal -2 binary64))) (.f64 (*.f64 a a) #s(literal 4 binary64)))) b))
(.f64 (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a #s(literal 2 binary64)) b)) b))
(.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 (.f64 b b) #s(literal 8 binary64))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 (.f64 a #s(literal 4 binary64)) (.f64 b b)) (.f64 (.f64 b b) (.f64 b (+.f64 b (.f64 a #s(literal -2 binary64))))))))
(.f64 (.f64 (.f64 b (fma.f64 a #s(literal 2 binary64) b)) (.f64 b (-.f64 (.f64 a #s(literal 2 binary64)) b))) (/.f64 #s(literal 1 binary64) (.f64 b (-.f64 (*.f64 a #s(literal 2 binary64)) b))))
(.f64 (.f64 b (fma.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b (.f64 a #s(literal -2 binary64))) (.f64 (*.f64 a a) #s(literal 4 binary64)))))
(.f64 (.f64 b (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a #s(literal 2 binary64)) b)))
(.f64 (.f64 (fma.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)) (.f64 b (.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b (.f64 a #s(literal -2 binary64))) (.f64 (*.f64 a a) #s(literal 4 binary64)))))
(.f64 (.f64 (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b)) b) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a #s(literal 2 binary64)) b)))
(.f64 (/.f64 (.f64 b (fma.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)) (.f64 b (.f64 b b)))) (fma.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) #s(literal 64 binary64) (.f64 (.f64 b (+.f64 b (.f64 a #s(literal -2 binary64)))) (.f64 b (.f64 (+.f64 b (.f64 a #s(literal -2 binary64))) (.f64 b (+.f64 b (.f64 a #s(literal -2 binary64))))))))) (fma.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 16 binary64) (.f64 (.f64 b (+.f64 b (.f64 a #s(literal -2 binary64)))) (-.f64 (.f64 b (+.f64 b (.f64 a #s(literal -2 binary64)))) (.f64 (*.f64 a a) #s(literal 4 binary64))))))
(.f64 (/.f64 (.f64 b (fma.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)) (.f64 b (.f64 b b)))) (-.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 16 binary64)) (.f64 b (.f64 (+.f64 b (.f64 a #s(literal -2 binary64))) (.f64 b (+.f64 b (.f64 a #s(literal -2 binary64)))))))) (fma.f64 a (.f64 a #s(literal 4 binary64)) (.f64 (neg.f64 b) (+.f64 b (.f64 a #s(literal -2 binary64))))))
(.f64 (/.f64 (.f64 b (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b))) (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b))) (fma.f64 a #s(literal 2 binary64) b))
(.f64 (/.f64 (.f64 b (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b))) (-.f64 (.f64 a (.f64 (.f64 a a) #s(literal 8 binary64))) (.f64 b (.f64 b b)))) (fma.f64 a (.f64 a #s(literal 4 binary64)) (.f64 b (fma.f64 a #s(literal 2 binary64) b))))
(.f64 (/.f64 (.f64 (fma.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)) (.f64 b (.f64 b b))) b) (fma.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) #s(literal 64 binary64) (.f64 (.f64 b (+.f64 b (.f64 a #s(literal -2 binary64)))) (.f64 b (.f64 (+.f64 b (.f64 a #s(literal -2 binary64))) (.f64 b (+.f64 b (.f64 a #s(literal -2 binary64))))))))) (fma.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 16 binary64) (.f64 (.f64 b (+.f64 b (.f64 a #s(literal -2 binary64)))) (-.f64 (.f64 b (+.f64 b (.f64 a #s(literal -2 binary64)))) (.f64 (*.f64 a a) #s(literal 4 binary64))))))
(.f64 (/.f64 (.f64 (fma.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)) (.f64 b (.f64 b b))) b) (-.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 16 binary64)) (.f64 b (.f64 (+.f64 b (.f64 a #s(literal -2 binary64))) (.f64 b (+.f64 b (.f64 a #s(literal -2 binary64)))))))) (fma.f64 a (.f64 a #s(literal 4 binary64)) (.f64 (neg.f64 b) (+.f64 b (.f64 a #s(literal -2 binary64))))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b)) b) (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b))) (fma.f64 a #s(literal 2 binary64) b))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b)) b) (-.f64 (.f64 a (.f64 (.f64 a a) #s(literal 8 binary64))) (.f64 b (.f64 b b)))) (fma.f64 a (.f64 a #s(literal 4 binary64)) (.f64 b (fma.f64 a #s(literal 2 binary64) b))))
(+.f64 b (*.f64 a #s(literal 2 binary64)))
(+.f64 (*.f64 a #s(literal 2 binary64)) b)
(+.f64 (/.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (-.f64 (.f64 a #s(literal 2 binary64)) b)) (neg.f64 (/.f64 (.f64 b b) (-.f64 (*.f64 a #s(literal 2 binary64)) b))))
(-.f64 (/.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (-.f64 (.f64 a #s(literal 2 binary64)) b)) (/.f64 (.f64 b b) (-.f64 (*.f64 a #s(literal 2 binary64)) b)))
(-.f64 (/.f64 (.f64 b b) (+.f64 b (.f64 a #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (+.f64 b (*.f64 a #s(literal -2 binary64)))))
(fma.f64 a #s(literal 2 binary64) b)
(fma.f64 #s(literal 2 binary64) a b)
(fma.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a #s(literal 2 binary64)) b)) (neg.f64 (/.f64 (.f64 b b) (-.f64 (*.f64 a #s(literal 2 binary64)) b))))
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (*.f64 a #s(literal 2 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b))) (fma.f64 a #s(literal 2 binary64) b) (neg.f64 (/.f64 (.f64 b b) (-.f64 (*.f64 a #s(literal 2 binary64)) b))))
(fma.f64 (/.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (-.f64 (.f64 a (.f64 (.f64 a a) #s(literal 8 binary64))) (.f64 b (.f64 b b)))) (fma.f64 a (.f64 a #s(literal 4 binary64)) (.f64 b (fma.f64 a #s(literal 2 binary64) b))) (neg.f64 (/.f64 (.f64 b b) (-.f64 (*.f64 a #s(literal 2 binary64)) b))))
(neg.f64 (/.f64 (fma.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)) (.f64 b (.f64 b b))) (neg.f64 (fma.f64 b (+.f64 b (.f64 a #s(literal -2 binary64))) (.f64 (*.f64 a a) #s(literal 4 binary64))))))
(neg.f64 (/.f64 (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b)) (neg.f64 (-.f64 (.f64 a #s(literal 2 binary64)) b))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)) (.f64 b (.f64 b b)))) (fma.f64 b (+.f64 b (.f64 a #s(literal -2 binary64))) (.f64 (*.f64 a a) #s(literal 4 binary64)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b))) (-.f64 (.f64 a #s(literal 2 binary64)) b)))
(/.f64 (fma.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)) (.f64 b (.f64 b b))) (fma.f64 b (+.f64 b (.f64 a #s(literal -2 binary64))) (.f64 (*.f64 a a) #s(literal 4 binary64))))
(/.f64 (fma.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)) (.f64 b (.f64 b b))) (fma.f64 b b (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 a #s(literal 2 binary64)) b))))
(/.f64 (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b)) (-.f64 (.f64 a #s(literal 2 binary64)) b))
(/.f64 (neg.f64 (fma.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)) (.f64 b (.f64 b b)))) (neg.f64 (fma.f64 b (+.f64 b (.f64 a #s(literal -2 binary64))) (.f64 (*.f64 a a) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)) (.f64 b (.f64 b b)))) (neg.f64 (fma.f64 b b (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 a #s(literal 2 binary64)) b)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b))) (neg.f64 (-.f64 (.f64 a #s(literal 2 binary64)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 2 binary64) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (.f64 a #s(literal 2 binary64)) b))) (fma.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)) (.f64 b (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 2 binary64) b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (.f64 a #s(literal -2 binary64))) (fma.f64 b b (.f64 #s(literal -4 binary64) (*.f64 a a)))))
(/.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a a))) (+.f64 b (*.f64 a #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 2 binary64) b))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (-.f64 (.f64 a #s(literal 2 binary64)) b)) (.f64 (-.f64 (.f64 a #s(literal 2 binary64)) b) (.f64 b b))) (.f64 (-.f64 (.f64 a #s(literal 2 binary64)) b) (-.f64 (.f64 a #s(literal 2 binary64)) b)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) #s(literal 512 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) #s(literal 64 binary64) (.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 (.f64 a a) #s(literal 8 binary64)))))) (fma.f64 b (+.f64 b (.f64 a #s(literal -2 binary64))) (.f64 (.f64 a a) #s(literal 4 binary64)))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) (.f64 a (neg.f64 a))))) (neg.f64 (neg.f64 (-.f64 (*.f64 b #s(literal 2 binary64)) a))))
(/.f64 (neg.f64 (fma.f64 a a (.f64 #s(literal -4 binary64) (.f64 b b)))) (neg.f64 (+.f64 a (*.f64 b #s(literal -2 binary64)))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 2 binary64) a)) #s(literal -1 binary64))
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(.f64 (/.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 (.f64 b b) #s(literal 8 binary64)))) (fma.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) #s(literal 64 binary64) (.f64 (.f64 a (+.f64 a (.f64 b #s(literal -2 binary64)))) (.f64 a (.f64 (+.f64 a (.f64 b #s(literal -2 binary64))) (.f64 a (+.f64 a (.f64 b #s(literal -2 binary64))))))))) (fma.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 16 binary64) (.f64 (.f64 a (+.f64 a (.f64 b #s(literal -2 binary64)))) (-.f64 (.f64 a (+.f64 a (.f64 b #s(literal -2 binary64)))) (.f64 (.f64 b b) #s(literal 4 binary64))))))
(.f64 (/.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 (.f64 b b) #s(literal 8 binary64)))) (-.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 16 binary64)) (.f64 a (.f64 (+.f64 a (.f64 b #s(literal -2 binary64))) (.f64 a (+.f64 a (.f64 b #s(literal -2 binary64)))))))) (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 a (+.f64 a (.f64 b #s(literal -2 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) (.f64 a (neg.f64 a))) (-.f64 (.f64 b (.f64 (.f64 b b) #s(literal 8 binary64))) (.f64 a (.f64 a a)))) (fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 a (fma.f64 b #s(literal 2 binary64) a))))

eval223.0ms (4.4%)

Memory: 22.5MiB live, 107.5MiB allocated
Compiler: Compiled 14 119 to 1 055 computations (92.5% saved)

prune101.0ms (2%)

Memory

7.7MiB live, 83.3MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	557	1	558
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	557	5	562

Accuracy

100.0%

Counts

562 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(*.f64 (+.f64 a b) (+.f64 a b))
▶	99.6%	#s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)))
✓	100.0%	#s(approx (* (+ a b) (+ a b)) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a))))
✓	99.6%	#s(approx (* (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b)))
✓	98.3%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 47 to 24 computations (48.9% saved)

simplify22.0ms (0.4%)

Memory

-25.5MiB live, 12.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 b b)
cost-diff	0	#s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)))
cost-diff	128	(*.f64 b #s(literal 2 binary64))
cost-diff	192	(fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))

Rules

124×	`lower-fma.f32`
122×	`lower-fma.f64`
86×	`lower-+.f64`
86×	`lower-+.f32`
56×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
0	13	33
1	25	31
2	47	31
3	78	31
4	101	31
5	116	31
6	126	31
0	126	29

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)))
(fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))
(*.f64 b #s(literal 2 binary64))
b
#s(literal 2 binary64)
a
(*.f64 b b)

Outputs
#s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)))
#s(approx (* (+ a b) (+ a b)) (*.f64 b (+.f64 a (+.f64 a b))))
(fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))
(*.f64 b (+.f64 a (+.f64 a b)))
(*.f64 b #s(literal 2 binary64))
(+.f64 b b)
b
#s(literal 2 binary64)
a
(*.f64 b b)

localize55.0ms (1.1%)

Memory

6.1MiB live, 97.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 b b)
accuracy	0	(*.f64 b #s(literal 2 binary64))
accuracy	0.01171875	(fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))
accuracy	0.25550820751008246	#s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)))

Samples

19.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 6.0ms (70.4% of total)

ival-add: 2.0ms (23.5% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

4 → 72

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) (patch (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) #<representation binary64>) () ())
#s(alt (.f64 b #s(literal 2 binary64)) (patch (.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) #<representation binary64>) () ())
#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())

Outputs
#s(alt (* 2 (* a b)) (taylor 0 b) (#s(alt (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) (patch (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* b (+ b (* 2 a))) (taylor 0 b) (#s(alt (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) (patch (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* b (+ b (* 2 a))) (taylor 0 b) (#s(alt (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) (patch (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* b (+ b (* 2 a))) (taylor 0 b) (#s(alt (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) (patch (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) (patch (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 2 (/ a b)))) (taylor inf b) (#s(alt (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) (patch (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 2 (/ a b)))) (taylor inf b) (#s(alt (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) (patch (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 2 (/ a b)))) (taylor inf b) (#s(alt (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) (patch (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) (patch (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 2 (/ a b)))) (taylor -inf b) (#s(alt (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) (patch (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 2 (/ a b)))) (taylor -inf b) (#s(alt (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) (patch (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 2 (/ a b)))) (taylor -inf b) (#s(alt (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) (patch (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 a) (#s(alt (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) (patch (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) (patch (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) (patch (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) (patch (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor inf a) (#s(alt (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) (patch (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 2 b) (/ (pow b 2) a))) (taylor inf a) (#s(alt (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) (patch (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 2 b) (/ (pow b 2) a))) (taylor inf a) (#s(alt (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) (patch (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 2 b) (/ (pow b 2) a))) (taylor inf a) (#s(alt (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) (patch (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor -inf a) (#s(alt (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) (patch (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a))))) (taylor -inf a) (#s(alt (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) (patch (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a))))) (taylor -inf a) (#s(alt (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) (patch (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a))))) (taylor -inf a) (#s(alt (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) (patch (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor 0 b) (#s(alt (.f64 b #s(literal 2 binary64)) (patch (.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor 0 b) (#s(alt (.f64 b #s(literal 2 binary64)) (patch (.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor 0 b) (#s(alt (.f64 b #s(literal 2 binary64)) (patch (.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor 0 b) (#s(alt (.f64 b #s(literal 2 binary64)) (patch (.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor inf b) (#s(alt (.f64 b #s(literal 2 binary64)) (patch (.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor inf b) (#s(alt (.f64 b #s(literal 2 binary64)) (patch (.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor inf b) (#s(alt (.f64 b #s(literal 2 binary64)) (patch (.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor inf b) (#s(alt (.f64 b #s(literal 2 binary64)) (patch (.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor -inf b) (#s(alt (.f64 b #s(literal 2 binary64)) (patch (.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor -inf b) (#s(alt (.f64 b #s(literal 2 binary64)) (patch (.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor -inf b) (#s(alt (.f64 b #s(literal 2 binary64)) (patch (.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor -inf b) (#s(alt (.f64 b #s(literal 2 binary64)) (patch (.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 a) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow b 2)) (taylor 0 a) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ a (* 2 b))) (pow b 2)) (taylor 0 a) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ a (* 2 b))) (pow b 2)) (taylor 0 a) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 b) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ b (* 2 a))) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ b (* 2 a))) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 2 (/ a b)))) (taylor inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 2 (/ a b)))) (taylor -inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b)))) (taylor -inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b)))) (taylor -inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(+ (* (* b 2) a) (* b b))
0.0ms	b	@	0	(+ (* (* b 2) a) (* b b))
0.0ms	b	@	inf	(* b 2)
0.0ms	b	@	inf	(+ (* (* b 2) a) (* b b))
0.0ms	b	@	-inf	(* b 2)

simplify148.0ms (2.9%)

Memory

17.2MiB live, 240.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 660×	`lower-fma.f64`
7 660×	`lower-fma.f32`
3 048×	`lower-*.f64`
3 048×	`lower-*.f32`
1 310×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	426
1	165	426
2	470	426
3	1323	414
4	3272	414
5	6431	414
0	8169	366

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(* 2 (* a b))
(* b (+ b (* 2 a)))
(* b (+ b (* 2 a)))
(* b (+ b (* 2 a)))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* 2 (* a b)) (pow b 2))
(+ (* 2 (* a b)) (pow b 2))
(* 2 (* a b))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* 2 (* a b))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(pow a 2)
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)

Outputs
(* 2 (* a b))
(.f64 a (.f64 #s(literal 2 binary64) b))
(* b (+ b (* 2 a)))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* b (+ b (* 2 a)))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* b (+ b (* 2 a)))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(pow b 2)
(*.f64 b b)
(+ (* 2 (* a b)) (pow b 2))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(+ (* 2 (* a b)) (pow b 2))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(+ (* 2 (* a b)) (pow b 2))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* 2 (* a b))
(.f64 a (.f64 #s(literal 2 binary64) b))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* 2 (* a b))
(.f64 a (.f64 #s(literal 2 binary64) b))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(pow b 2)
(*.f64 b b)
(+ (* 2 (* a b)) (pow b 2))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 a (fma.f64 #s(literal 2 binary64) b a) (*.f64 b b))
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 a (fma.f64 #s(literal 2 binary64) b a) (*.f64 b b))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 a (fma.f64 #s(literal 2 binary64) b a))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 a (fma.f64 #s(literal 2 binary64) b a) (*.f64 b b))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 a (fma.f64 #s(literal 2 binary64) b a) (*.f64 b b))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 a (fma.f64 #s(literal 2 binary64) b a))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 a (fma.f64 #s(literal 2 binary64) b a) (*.f64 b b))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 a (fma.f64 #s(literal 2 binary64) b a) (*.f64 b b))
(pow a 2)
(*.f64 a a)
(+ (* 2 (* a b)) (pow a 2))
(*.f64 a (fma.f64 #s(literal 2 binary64) b a))
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 a (fma.f64 #s(literal 2 binary64) b a) (*.f64 b b))
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 a (fma.f64 #s(literal 2 binary64) b a) (*.f64 b b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(fma.f64 a (fma.f64 #s(literal 2 binary64) b a) (*.f64 b b))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(fma.f64 a (fma.f64 #s(literal 2 binary64) b a) (*.f64 b b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(fma.f64 a (fma.f64 #s(literal 2 binary64) b a) (*.f64 b b))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(fma.f64 a (fma.f64 #s(literal 2 binary64) b a) (*.f64 b b))
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)

rewrite330.0ms (6.5%)

Memory

-30.1MiB live, 376.6MiB allocated

Rules

6 724×	`lower-fma.f32`
6 722×	`lower-fma.f64`
4 968×	`lower-*.f32`
4 964×	`lower-*.f64`
2 002×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
0	13	28
1	51	26
2	400	26
3	4751	26
0	8423	24

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 108

Calls

Call 1

Inputs
(fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))
(*.f64 b #s(literal 2 binary64))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)))
(*.f64 b b)

Outputs
(+.f64 (.f64 b b) (.f64 (*.f64 b #s(literal 2 binary64)) a))
(+.f64 (.f64 (.f64 b #s(literal 2 binary64)) a) (*.f64 b b))
(+.f64 (.f64 b (/.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) a) b))) (neg.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 b (fma.f64 #s(literal 2 binary64) a b)))) #s(literal -1 binary64)))
(-.f64 (.f64 b (/.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) a) b))) (/.f64 (.f64 b (.f64 b b)) (-.f64 (*.f64 #s(literal 2 binary64) a) b)))
(-.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))) (/.f64 (.f64 b (.f64 b (.f64 (.f64 a a) #s(literal 4 binary64)))) (.f64 b (-.f64 b (*.f64 #s(literal 2 binary64) a)))))
(fma.f64 b b (.f64 (.f64 b #s(literal 2 binary64)) a))
(fma.f64 b (.f64 #s(literal 2 binary64) a) (.f64 b b))
(fma.f64 b (/.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (neg.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 #s(literal 2 binary64) a) b))))
(fma.f64 b (/.f64 (.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) b) (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b))) (neg.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 #s(literal 2 binary64) a) b))))
(fma.f64 b (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) a))) (.f64 b b))
(fma.f64 #s(literal 2 binary64) (.f64 b a) (.f64 b b))
(fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))
(fma.f64 (.f64 b #s(literal 2 binary64)) (/.f64 (.f64 (.f64 b #s(literal 2 binary64)) (.f64 a a)) (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b))) (neg.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(fma.f64 a (.f64 b #s(literal 2 binary64)) (.f64 b b))
(fma.f64 a (/.f64 (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b))) (neg.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 #s(literal 2 binary64) a) b))))
(fma.f64 a (exp.f64 (log.f64 (.f64 b #s(literal 2 binary64)))) (.f64 b b))
(fma.f64 (.f64 b b) (/.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b))) (neg.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 #s(literal 2 binary64) a) b))))
(fma.f64 (.f64 (.f64 b #s(literal 2 binary64)) a) (/.f64 (.f64 (.f64 b #s(literal 2 binary64)) a) (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b))) (neg.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(fma.f64 (.f64 b (.f64 b (.f64 (.f64 a a) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b))) (neg.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(fma.f64 (.f64 a a) (/.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b))) (neg.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 #s(literal 2 binary64) a) b))))
(fma.f64 (.f64 b a) #s(literal 2 binary64) (.f64 b b))
(fma.f64 (.f64 #s(literal 2 binary64) a) b (.f64 b b))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) b) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (neg.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(fma.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (/.f64 (.f64 a a) (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b))) (neg.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 #s(literal 2 binary64) a) b))))
(fma.f64 (.f64 b (.f64 (.f64 b #s(literal 2 binary64)) a)) (/.f64 (.f64 #s(literal 2 binary64) a) (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b))) (neg.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(fma.f64 (.f64 (.f64 b #s(literal 2 binary64)) (.f64 a a)) (/.f64 (.f64 b #s(literal 2 binary64)) (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b))) (neg.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(fma.f64 (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64))) (/.f64 a (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b))) (neg.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 #s(literal 2 binary64) a) b))))
(fma.f64 (/.f64 (.f64 b #s(literal 2 binary64)) b) (/.f64 (.f64 (.f64 b #s(literal 2 binary64)) (.f64 a a)) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (neg.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 #s(literal 2 binary64) a) b))))
(fma.f64 (/.f64 a b) (/.f64 (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (neg.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(fma.f64 (/.f64 (.f64 (.f64 b #s(literal 2 binary64)) a) b) (/.f64 (.f64 (.f64 b #s(literal 2 binary64)) a) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (neg.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 #s(literal 2 binary64) a) b))))
(fma.f64 (/.f64 (.f64 a a) b) (/.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (neg.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(fma.f64 (/.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) b) (/.f64 (.f64 a a) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (neg.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(fma.f64 (/.f64 (.f64 b (.f64 (.f64 b #s(literal 2 binary64)) a)) b) (/.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (neg.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 #s(literal 2 binary64) a) b))))
(fma.f64 (/.f64 (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64))) b) (/.f64 a (-.f64 (.f64 #s(literal 2 binary64) a) b)) (neg.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(fma.f64 (/.f64 (.f64 (.f64 b #s(literal 2 binary64)) (.f64 a a)) b) (/.f64 (.f64 b #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (neg.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 #s(literal 2 binary64) a) b))))
(fma.f64 (/.f64 (.f64 b (.f64 b (.f64 (.f64 a a) #s(literal 4 binary64)))) (.f64 (.f64 b b) (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b)))) (.f64 b (fma.f64 #s(literal 2 binary64) a b)) (neg.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(fma.f64 (/.f64 (.f64 b (.f64 b (.f64 (.f64 a a) #s(literal 4 binary64)))) (.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)) (.f64 b (.f64 b b))))) (fma.f64 b (.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) b) (.f64 (.f64 b b) (.f64 b (fma.f64 #s(literal 2 binary64) a b)))) (neg.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(fma.f64 (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) a))) b (.f64 b b))
(fma.f64 (exp.f64 (log.f64 (.f64 b a))) (exp.f64 (log.f64 #s(literal 2 binary64))) (.f64 b b))
(fma.f64 (exp.f64 (log.f64 (.f64 b #s(literal 2 binary64)))) a (.f64 b b))
(fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (log.f64 (.f64 b a))) (.f64 b b))
(neg.f64 (/.f64 (.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64) (.f64 b (.f64 b b)))) (neg.f64 (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 (.f64 a a) #s(literal 4 binary64)))))))
(neg.f64 (/.f64 (.f64 (.f64 b b) (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b))) (neg.f64 (.f64 b (-.f64 (*.f64 #s(literal 2 binary64) a) b)))))
(neg.f64 (/.f64 (neg.f64 (.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64) (.f64 b (.f64 b b))))) (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 (.f64 a a) #s(literal 4 binary64))))))
(neg.f64 (/.f64 (neg.f64 (.f64 (.f64 b b) (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b)))) (.f64 b (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(/.f64 (.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64) (.f64 b (.f64 b b)))) (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 (.f64 a a) #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 b b) (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b))) (.f64 b (-.f64 (*.f64 #s(literal 2 binary64) a) b)))
(/.f64 (neg.f64 (.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64) (.f64 b (.f64 b b))))) (neg.f64 (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 (.f64 a a) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 b b) (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b)))) (neg.f64 (.f64 b (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) #s(literal 512 binary64) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b b) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 b (.f64 b (.f64 b b))))))) (.f64 (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 (.f64 a a) #s(literal 4 binary64)))) (fma.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (-.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b b) (.f64 b (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64))))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) #s(literal 64 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 #s(literal 2 binary64) a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 #s(literal 2 binary64) a b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 (*.f64 a a) #s(literal 4 binary64))))))
(/.f64 (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal 4 binary64)))) (.f64 b (-.f64 b (*.f64 #s(literal 2 binary64) a))))
(/.f64 (.f64 (.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64) (.f64 b (.f64 b b)))) (.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)) (.f64 b (.f64 b b))))) (.f64 (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 (.f64 a a) #s(literal 4 binary64)))) (.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)) (.f64 b (.f64 b b))))))
(/.f64 (.f64 (.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64) (.f64 b (.f64 b b)))) (.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)) (.f64 b (.f64 b b))))) (.f64 (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b)) (fma.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 b b) (fma.f64 (.f64 a a) #s(literal 4 binary64) (.f64 b b))) (.f64 a (.f64 (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 b (.f64 b (.f64 (*.f64 a a) #s(literal 4 binary64)))))))))
(/.f64 (.f64 (.f64 (.f64 b b) (fma.f64 (.f64 a a) #s(literal 4 binary64) (.f64 b b))) (.f64 (.f64 b b) (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b)))) (.f64 (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b)) (.f64 (.f64 b b) (fma.f64 (.f64 a a) #s(literal 4 binary64) (*.f64 b b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 #s(literal 2 binary64) a b)))))
(/.f64 (-.f64 (.f64 (.f64 b (.f64 b (.f64 (.f64 a a) #s(literal 4 binary64)))) (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b))) (.f64 (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b)) (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b)) (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) #s(literal 512 binary64) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b b) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 b (.f64 b (.f64 b b))))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (-.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b b) (.f64 b (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64))))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) #s(literal 64 binary64)))) (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 (*.f64 a a) #s(literal 4 binary64))))))
(/.f64 (.f64 (.f64 (.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64) (.f64 b (.f64 b b)))) (.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)) (.f64 b (.f64 b b))))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)) (.f64 b (.f64 b b)))) (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 (*.f64 a a) #s(literal 4 binary64))))))
(/.f64 (.f64 (.f64 (.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64) (.f64 b (.f64 b b)))) (.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)) (.f64 b (.f64 b b))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 b b) (fma.f64 (.f64 a a) #s(literal 4 binary64) (.f64 b b))) (.f64 a (.f64 (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 b (.f64 b (.f64 (.f64 a a) #s(literal 4 binary64))))))) (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b))))
(/.f64 (.f64 (.f64 (.f64 (.f64 b b) (fma.f64 (.f64 a a) #s(literal 4 binary64) (.f64 b b))) (.f64 (.f64 b b) (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b)))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 b b) (fma.f64 (.f64 a a) #s(literal 4 binary64) (.f64 b b))) (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64) (.f64 b (.f64 b b)))))) (neg.f64 (neg.f64 (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 (.f64 a a) #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 b b) (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b))))) (neg.f64 (neg.f64 (.f64 b (-.f64 (*.f64 #s(literal 2 binary64) a) b)))))
(/.f64 (neg.f64 (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal 4 binary64))))) (neg.f64 (.f64 b (-.f64 b (*.f64 #s(literal 2 binary64) a)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 b (/.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) a) b))) (.f64 b (/.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) a) b)))) (.f64 b (/.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) a) b)))) (.f64 (.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (/.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 #s(literal 2 binary64) a) b))) (/.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 #s(literal 2 binary64) a) b)))) (fma.f64 (.f64 b (/.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) a) b))) (.f64 b (/.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) a) b))) (fma.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (/.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (.f64 (.f64 b (/.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) a) b))) (/.f64 (.f64 b (.f64 b b)) (-.f64 (*.f64 #s(literal 2 binary64) a) b))))))
(/.f64 (-.f64 (.f64 (.f64 b (/.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) a) b))) (.f64 b (/.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) a) b)))) (.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (/.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 #s(literal 2 binary64) a) b)))) (fma.f64 b (/.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (/.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 #s(literal 2 binary64) a) b))))
(/.f64 (.f64 (.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64) (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 (*.f64 a a) #s(literal 4 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) #s(literal 512 binary64) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b b) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 b (.f64 b (.f64 b b))))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 (.f64 a a) #s(literal 4 binary64)))))) (fma.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (-.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b b) (.f64 b (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64))))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) #s(literal 64 binary64)))))
(/.f64 (.f64 (.f64 (.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64) (.f64 b (.f64 b b)))) (.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)) (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 (.f64 a a) #s(literal 4 binary64)))))) (.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)) (.f64 b (.f64 b b)))))
(/.f64 (.f64 (.f64 (.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64) (.f64 b (.f64 b b)))) (.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)) (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b)))) (fma.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 b b) (fma.f64 (.f64 a a) #s(literal 4 binary64) (.f64 b b))) (.f64 a (.f64 (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 b (.f64 b (.f64 (*.f64 a a) #s(literal 4 binary64))))))))
(/.f64 (.f64 (.f64 (.f64 (.f64 b b) (fma.f64 (.f64 a a) #s(literal 4 binary64) (.f64 b b))) (.f64 (.f64 b b) (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b)))) (/.f64 #s(literal 1 binary64) (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b)))) (.f64 (.f64 b b) (fma.f64 (.f64 a a) #s(literal 4 binary64) (*.f64 b b))))
(/.f64 (/.f64 (.f64 (.f64 b b) (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b))) b) (-.f64 (.f64 #s(literal 2 binary64) a) b))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 #s(literal 2 binary64) a b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 #s(literal 2 binary64) a b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 (*.f64 a a) #s(literal 4 binary64))))) #s(literal -1 binary64))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(.f64 (.f64 b (fma.f64 #s(literal 2 binary64) a b)) (.f64 (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b)) (/.f64 #s(literal 1 binary64) (.f64 b (-.f64 (*.f64 #s(literal 2 binary64) a) b)))))
(.f64 (.f64 b (fma.f64 #s(literal 2 binary64) a b)) (/.f64 (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b)) (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b))))
(.f64 (.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 (*.f64 a a) #s(literal 4 binary64))))))
(.f64 (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 (.f64 a a) #s(literal 4 binary64)))) (.f64 (.f64 b (fma.f64 #s(literal 2 binary64) a b)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 (*.f64 a a) #s(literal 4 binary64)))))))
(.f64 (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 (.f64 a a) #s(literal 4 binary64)))) (/.f64 (.f64 b (fma.f64 #s(literal 2 binary64) a b)) (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 (.f64 a a) #s(literal 4 binary64))))))
(.f64 (.f64 (.f64 b b) (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b))))
(.f64 (neg.f64 (.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64) (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 (*.f64 a a) #s(literal 4 binary64)))))))
(.f64 (neg.f64 (.f64 (.f64 b b) (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b)))))
(.f64 #s(literal 1 binary64) (.f64 b (fma.f64 #s(literal 2 binary64) a b)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 (.f64 a a) #s(literal 4 binary64))))) (.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64) (.f64 b (*.f64 b b)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b))) (.f64 (.f64 b b) (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b))))
(.f64 (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(.f64 (/.f64 (.f64 b (fma.f64 #s(literal 2 binary64) a b)) b) (/.f64 (.f64 b (-.f64 (.f64 #s(literal 2 binary64) a) b)) (-.f64 (*.f64 #s(literal 2 binary64) a) b)))
(.f64 (/.f64 (.f64 (.f64 b b) (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b))) (.f64 (.f64 b b) (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b)))) (.f64 b (fma.f64 #s(literal 2 binary64) a b)))
(.f64 (/.f64 (.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64) (.f64 b (.f64 b b)))) (fma.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) #s(literal 64 binary64))))) (fma.f64 (.f64 b (.f64 b (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))))) (-.f64 (.f64 b (.f64 b (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))))) (.f64 b (.f64 b (.f64 (.f64 a a) #s(literal 4 binary64))))) (.f64 a (.f64 (.f64 a (.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 b (.f64 b (.f64 (.f64 a a) #s(literal 4 binary64))))))))
(.f64 (/.f64 (.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64) (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 (.f64 a a) #s(literal 4 binary64)))) (.f64 (.f64 b b) (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))))))) (.f64 (.f64 b b) (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))))))
(.f64 (/.f64 (.f64 (.f64 b b) (-.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) (.f64 b b))) (.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)) (.f64 b (.f64 b b))))) (fma.f64 b (.f64 (.f64 (.f64 a a) #s(literal 4 binary64)) b) (.f64 (.f64 b b) (.f64 b (fma.f64 #s(literal 2 binary64) a b)))))
(*.f64 b #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) b)
#s(approx (* (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal 3 binary64) (log.f64 b)) (log.f64 b)))
(/.f64 (.f64 b (.f64 b b)) b)
(pow.f64 b #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 b))
(*.f64 b b)

eval21.0ms (0.4%)

Memory: 3.3MiB live, 39.7MiB allocated
Compiler: Compiled 4 323 to 310 computations (92.8% saved)

prune23.0ms (0.4%)

Memory

8.9MiB live, 46.5MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	180	5	185

Accuracy

100.0%

Counts

185 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	99.6%	#s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)))
✓	100.0%	#s(approx (* (+ a b) (+ a b)) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a))))
✓	99.6%	#s(approx (* (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b)))
✓	98.3%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 86 to 37 computations (57% saved)

regimes10.0ms (0.2%)

Memory

18.6MiB live, 18.7MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
#s(approx (* (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b)))
(*.f64 (+.f64 a b) (+.f64 a b))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)))
#s(approx (* (+ a b) (+ a b)) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a))))

Outputs
#s(approx (* (+ a b) (+ a b)) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a))))

Calls

4 calls:

2.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms	b
2.0ms	(+.f64 a b)
2.0ms	a

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
100.0%	1	`(+.f64 a b)`

Compiler

Compiled 20 to 11 computations (45% saved)

regimes12.0ms (0.2%)

Memory

-30.3MiB live, 16.2MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
#s(approx (* (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b)))
(*.f64 (+.f64 a b) (+.f64 a b))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b)))

Outputs
(*.f64 (+.f64 a b) (+.f64 a b))

Calls

4 calls:

6.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms	(+.f64 a b)
2.0ms	b
2.0ms	a

Results

Accuracy	Segments	Branch
99.9%	1	`a`
99.9%	1	`b`
99.9%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
99.9%	1	`(+.f64 a b)`

Compiler

Compiled 20 to 11 computations (45% saved)

regimes6.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
#s(approx (* (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b)))

Outputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b)))

Calls

4 calls:

2.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
1.0ms	(+.f64 a b)
1.0ms	b
1.0ms	a

Results

Accuracy	Segments	Branch
99.6%	1	`a`
99.6%	1	`b`
99.6%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
99.6%	1	`(+.f64 a b)`

Compiler

Compiled 20 to 11 computations (45% saved)

regimes5.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Outputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Calls

4 calls:

1.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
1.0ms	(+.f64 a b)
1.0ms	a
1.0ms	b

Results

Accuracy	Segments	Branch
98.3%	1	`a`
98.3%	1	`b`
98.3%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
98.3%	1	`(+.f64 a b)`

Compiler

Compiled 20 to 11 computations (45% saved)

simplify34.0ms (0.7%)

Memory

-29.8MiB live, 8.5MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	49
1	19	49

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (* (+ a b) (+ a b)) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a))))
(*.f64 (+.f64 a b) (+.f64 a b))
#s(approx (* (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b)))
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Outputs
#s(approx (* (+ a b) (+ a b)) (fma.f64 b b (*.f64 a (fma.f64 b #s(literal 2 binary64) a))))
(*.f64 (+.f64 a b) (+.f64 a b))
#s(approx (* (+ a b) (+ a b)) (*.f64 b (fma.f64 #s(literal 2 binary64) a b)))
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

soundness568.0ms (11.3%)

Memory

10.2MiB live, 158.6MiB allocated

Rules

7 026×	`lower-fma.f64`
7 026×	`lower-fma.f32`
2 898×	`lower-*.f64`
2 898×	`lower-*.f32`
1 650×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	264
1	193	264
2	490	264
3	1595	252
4	3905	252
5	6954	252
0	8103	222

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 43 to 19 computations (55.8% saved)

preprocess57.0ms (1.1%)

Memory: -2.6MiB live, 120.5MiB allocated
Compiler: Compiled 160 to 70 computations (56.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze17.0ms (0.3%)

sample1.1s (21.6%)

explain246.0ms (4.9%)

preprocess90.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize36.0ms (0.7%)

series3.0ms (0.1%)

simplify266.0ms (5.3%)

rewrite462.0ms (9.2%)

eval321.0ms (6.4%)

prune232.0ms (4.6%)

simplify9.0ms (0.2%)

localize37.0ms (0.7%)

series34.0ms (0.7%)

simplify172.0ms (3.4%)

rewrite399.0ms (7.9%)

eval223.0ms (4.4%)

prune101.0ms (2%)

simplify22.0ms (0.4%)

localize55.0ms (1.1%)

series5.0ms (0.1%)

simplify148.0ms (2.9%)

rewrite330.0ms (6.5%)

eval21.0ms (0.4%)

prune23.0ms (0.4%)

regimes10.0ms (0.2%)

regimes12.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

simplify34.0ms (0.7%)

soundness568.0ms (11.3%)

preprocess57.0ms (1.1%)

end0.0ms (0%)

Profiling